A 0.5 (half) overconvergent Eichler-Shimura isomorphism

Autor:	Fabrizio Andreatta, Glenn Stevens, Adrian Iovita
Rok vydání:	2016
Předmět:	Discrete mathematics Pure mathematics Eichler–Shimura isomorphism Mathematics::Number Theory General Mathematics Modular form Modular curve Mathematics::Algebraic Geometry Tate module Classical modular curve Morphism Modular elliptic curve Hecke operator Mathematics
Zdroj:	Annales mathématiques du Québec. 40:121-148
ISSN:	2195-4763 2195-4755
DOI:	10.1007/s40316-015-0048-0
Popis:	In this article we construct a Galois and Hecke equivariant morphism connecting the first cohomology group on Faltings’ site of a formal strict neighborhood of the ordinary locus in a formal modular curve of level prime to p, with coefficients in the analytic distributions of a certain analytic weight k on the p-adic Tate module of the universal elliptic curve to the overconvergent modular forms of weight \(k+2\). We prove that this morphism is an isomorphism on the finite slope parts.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::294a07646efdfc4968c33ded253af900 https://doi.org/10.1007/s40316-015-0048-0 Zobrazit plný text záznamu Full text from SpringerLink